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14 Nov 2025, 08:33
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
74% (03:05) correct
26%
(03:00)
wrong
based on 201
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A and B can complete a job together in 15 days. A alone can complete the job in 25 days. After working together for x days, A leaves, and B finishes the remaining work in 18 days. What is the value of x?
A. 3
B. 4
C. 5
D. 6
E. 8
A. 3
B. 4
C. 5
D. 6
E. 8
15 Nov 2025, 10:18
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\( \frac{1}{25} + \frac{1}{b} = \frac{1}{15}\)
Tme taken by B to do the work alone \( = 37.5\)
Together they can complete the work in \(15\) days.
Working for \(x\) days together \(\frac{x}{15}\) work is completed
Remaining work \( = 1- \frac{x}{15}\)
B can do this work in \(18\) days.
\(\frac{1}{37.5}*18 = 1- \frac{x}{15}\)
\(x=7.8\)
Ans = E
Hope it helped.
Demonicgod
\( \frac{1}{25} + \frac{1}{b} = \frac{1}{15}\)
Tme taken by B to do the work alone \( = 37.5\)
Together they can complete the work in \(15\) days.
Working for \(x\) days together \(\frac{x}{15}\) work is completed
Remaining work \( = 1- \frac{x}{15}\)
B can do this work in \(18\) days.
\(\frac{1}{37.5}*18 = 1- \frac{x}{15}\)
\(x=7.8\)
Ans = E
Hope it helped.
04 Dec 2025, 23:39
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Lets take lcm of 15 and 25 as total work for easy calculation : LCM (15,25)=75
let rate of A and B be "a" &"b" resp.
W R T
A+B 75 =5 15 ..........here 5= a+b
A 75 =3 25 ............b= 5-3=2 ....since a= 3
A+B =5x 5 x
B 75-5x 2 18
75-5x=2*18
x=7.8 =8 (approx)
let rate of A and B be "a" &"b" resp.
W R T
A+B 75 =5 15 ..........here 5= a+b
A 75 =3 25 ............b= 5-3=2 ....since a= 3
A+B =5x 5 x
B 75-5x 2 18
75-5x=2*18
x=7.8 =8 (approx)
